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Finding the Third Proportional to 739,428 and 1,513,824

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Solution

The third proportional to 739,428 and 1,513,824 is: 3,099,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,428 : 1,513,824 = 1,513,824 : x
  2. Step 2: Convert to fraction form
    739,428/1,513,824 = 1,513,824/x
  3. Step 3: Cross multiply
    739,428x = 1,513,824 × 1,513,824
  4. Step 4: Simplify right side
    739,428x = 2,291,663,102,976
  5. Step 5: Solve for x
    x = 2,291,663,102,976/739,428
  6. Step 6: Final answer
    x = 3,099,237.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.